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36-3\left(x+2\right)=12-2\left(x+3\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
36-3x-6=12-2\left(x+3\right)
Use the distributive property to multiply -3 by x+2.
30-3x=12-2\left(x+3\right)
Subtract 6 from 36 to get 30.
30-3x=12-2x-6
Use the distributive property to multiply -2 by x+3.
30-3x=6-2x
Subtract 6 from 12 to get 6.
30-3x+2x=6
Add 2x to both sides.
30-x=6
Combine -3x and 2x to get -x.
-x=6-30
Subtract 30 from both sides.
-x=-24
Subtract 30 from 6 to get -24.
x=24
Multiply both sides by -1.